Find the sum of the first 6 terms in the sequence -5 -25 -125 -625

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15-06-2017
Mathematics

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Find the sum of the first 6 terms in the sequence -5 -25 -125 -625

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steve77 steve77 · Answer 1 · 2017-06-15T16:51:14+02:00

steve77 steve77

15-06-2017

This is a geometric sequence, so use the formula for the sum of a geometric sequence:
Sum = (a(r^n - 1))/(r - 1)
where a is the first term, -5
r is the common ratio, 5
and n is the number of terms

Thus,
Sum = ((-5)(5^6 - 1))/(5-1) = -19530

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